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Finding the Fourth Proportional to 54,715.69, 82,073.54 and 13,162.69

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Solution

The fourth proportional to 54,715.69, 82,073.54 and 13,162.69 is: 19,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,715.69 : 82,073.54 = 13,162.69 : x
  2. Step 2: Convert to fraction form
    54,715.69/82,073.54 = 13,162.69/x
  3. Step 3: Cross multiply
    54,715.69x = 82,073.54 × 13,162.69
  4. Step 4: Simplify right side
    54,715.69x = 1,080,308,564.22
  5. Step 5: Solve for x
    x = 1,080,308,564.22/54,715.69
  6. Step 6: Final answer
    x = 19,744.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.